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Physics of Fluids
Volumn 12, Issue 10, 2000, Pages 2413-2431
Statistical representation of a spray as a point process
Author keywords

[No Author keywords available]
Indexed keywords

COMPUTER SIMULATION; DROP FORMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; STATISTICAL METHODS; VOLUME FRACTION;
EID: 0034306751     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1288266     Document Type: Article
Times cited : (51)
References (38)
  • 4
    • 0032116626 scopus 로고    scopus 로고
    • Droplet-turbulence interaction in low-Mach-number homogeneous shear 2-phase flows
    • (1998) J. Fluid Mech. , vol.367 , pp. 163
    • Mashayek, F.1
  • 8
    • 0000666674 scopus 로고
    • On a kinetic equation for the transport of particles in turbulent flows
    • (1991) Phys. Fluids A , vol.3 , pp. 446
    • Reeks, M.W.1
  • 13
    • 0007702298 scopus 로고    scopus 로고
    • Additional droplet properties such as temperature can be introduced, but their inclusion in this work results in an unnecessary complication that does not affect the conclusions. If droplet temperature is included as a droplet property, then a consequence of the point-process representation is that the droplets have to be assumed to be isothermal. Also if nonspherical droplets are to be represented, geometrical properties in addition to the droplet radius need to be included. Therefore the simplest point-process representation results from assuming nondeforming, spherical, isothermal droplets.
  • 15
    • 0007612896 scopus 로고    scopus 로고
    • Particle is a generic term which is used to refer to either a droplet or a molecule in this work
  • 16
    • 0007613201 scopus 로고    scopus 로고
    • By single-particle pdf we mean any pdf that is associated with a single particle in the point process. This is to be distinguished from single-point statistical representations which are introduced in the next section
  • 21
    • 0007618206 scopus 로고    scopus 로고
    • This would correspond to a condition where the Reynolds number based on the droplet radius is greater than 1000 for both droplets, following which the drag coefficient C(D) can be assumed to be a constant (Ref. 28)
  • 22
    • 0007665578 scopus 로고    scopus 로고
    • For the sake of convenience excluding the case of more than one droplet having the highest velocity
  • 23
    • 0007613439 scopus 로고    scopus 로고
    • Such a process is termed orderly. Since we assume the point process is also finite, this implies a simple point process
  • 29
    • 0007690160 scopus 로고    scopus 로고
    • As defined in Ref. 25
  • 30
    • 0007618207 scopus 로고    scopus 로고
    • As defined by Eq. (6)
  • 31
    • 0007619728 scopus 로고    scopus 로고
    • If the droplets are independently distributed, then the realizations themselves are directly related [cf. Eqs. (25)-(27)]. Otherwise the dashed lines in Fig. 4(b) are to be interpreted as only denoting a relationship between the Liouville densities associated with the points they connect
  • 32
    • 0007688002 scopus 로고    scopus 로고
    • Such as the expected acceleration at a point in the phase space of the ddf.
  • 33
    • 0007648883 scopus 로고    scopus 로고
    • For simplicity the total number of droplets N(s) is assumed to remain unchanged from its initial value of k through the DNS evolution

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.